Best distributions on Riemannian manifolds and elastic deformations with constant principal strains
My thesis concerns two quite distinct problems. In the first, the method of moving frames and calibrated geometry are used to determine optimal tangent subspace distributions on certain Riemannian manifolds, which generalize the results proved by Gluck and Ziller in 1986. The second is a problem which arises in continuum mechanics, concerning maps with constant principal strains. The author proves the local existence of certain deformations.
Zhang, Zhenyu, "Best distributions on Riemannian manifolds and elastic deformations with constant principal strains" (1993). Dissertations available from ProQuest. AAI9413933.